This paper aims to develop a novel scheme for automatically generating high-quality tetrahedral meshes for electromagnetic simulations on complex industrial products, even in the presence of geometric defects.
This paper substantially revises and improves three techniques namely cut-and-fix, sphere-packing and small polyhedron reconnection (SPR) and integrates them into a novel scheme. The scheme involves three key steps: first, repairing models with geometric defects using an enhanced cut-and-fix technique; second, applying sphere-packing to place nodes that capture the feature sizes of the model and finally, performing a standard Delaunay triangulation of these nodes, followed by boundary recovery and mesh quality improvement using SPR.
The revised cut-and-fix method focuses on surface smoothness and effectively avoids the rough surfaces generated during the global tetrahedron optimization process. The revised sphere-packing method has the ability for meshing size adaptation and is suitable for electromagnetic simulations. It also helps to integrate cut-and-fix, sphere-packing and SPR skillfully into a novel meshing scheme.
Numerical examples demonstrate the effectiveness and robustness of the proposed method for meshing various types of electromagnetic simulation models, highlighting its excellent performance.
